Finding the Fourth Proportional to 10,369.41, 14,309.83 and 5,653.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.41 : 14,309.83 = 5,653.69 : x
2. Step 2: Convert to fraction form
   10,369.41/14,309.83 = 5,653.69/x
3. Step 3: Cross multiply
   10,369.41x = 14,309.83 × 5,653.69
4. Step 4: Simplify right side
   10,369.41x = 80,903,342.77
5. Step 5: Solve for x
   x = 80,903,342.77/10,369.41
6. Step 6: Final answer
   x = 7,802.12